Q 8.8 - Elementary Statistics

Question

A simple random sample is taken from a population and yields the following data for a variable of the population:

Find a point estimate for the population mean (i.e., the mean of the variable).

Step-by-Step Solution

Answer

The point estimatate for the population mean is  $10$

Step 1:Gien information

Step 2:Formulae used

 The fomulae to find the sample mean is,

$\overline{x}=\frac{\sum x_i}{n}$

Where,$\sum x_i$ is the sum of all obserations and  $n$ is the total number of observations.

Step 3:Simplification

The sample mean is 

$$\begin{gathered} \overline{x}=\frac{\sum x_i}{n} \\ =\frac{20+2+6+2+12+6+9+8+16+8+21}{11} \\ =\frac{110}{11} \\ =10 \end{gathered}$$

Thus,The point estimatate for the population mean is $10$